IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v58y2011i5p437-456.html
   My bibliography  Save this article

A location‐inventory model with lateral transshipments

Author

Listed:
  • Hussein Naseraldin
  • Yale T. Herer

Abstract

We study an infinite horizon periodic stochastic inventory system consisting of retail outlets and customers located on a homogenous line segment. In each period, the total demand, generated by the customers on the line, is normally distributed. To better match supply and demand, we incorporate lateral transshipments. We propose a compact model in which the strategic decisions—the number and locations of retail outlets—are determined simultaneously with the operational decisions—the inventory replenishment and transshipment quantities. We find the optimal balance between the risk‐pooling considerations, which drive down the optimal number of retail outlets, and lateral transshipments, which drive up the optimal number of retail outlets. We also explore the sensitivity of the optimal number of retail outlets to various problem parameters. This article presents a novel way of integrating lateral transshipments in the context of an inventory‐location model. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011

Suggested Citation

  • Hussein Naseraldin & Yale T. Herer, 2011. "A location‐inventory model with lateral transshipments," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(5), pages 437-456, August.
    • Handle: RePEc:wly:navres:v:58:y:2011:i:5:p:437-456
    DOI: 10.1002/nav.20461
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.20461
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.20461?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Mark Daskin & Collette Coullard & Zuo-Jun Shen, 2002. "An Inventory-Location Model: Formulation, Solution Algorithm and Computational Results," Annals of Operations Research, Springer, vol. 110(1), pages 83-106, February.
    2. Yale T. Herer & Ayelet Rashit, 1999. "Lateral stock transshipments in a two‐location inventory system with fixed and joint replenishment costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(5), pages 525-547, August.
    3. Hussein Naseraldin & Yale T. Herer, 2008. "Integrating the Number and Location of Retail Outlets on a Line with Replenishment Decisions," Management Science, INFORMS, vol. 54(9), pages 1666-1683, September.
    4. Stephen C. Allen, 1958. "Redistribution of total stock over several user locations," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 5(4), pages 337-345, December.
    5. Max Shen, Zuo-Jun & Qi, Lian, 2007. "Incorporating inventory and routing costs in strategic location models," European Journal of Operational Research, Elsevier, vol. 179(2), pages 372-389, June.
    6. Zuo-Jun Max Shen & Collette Coullard & Mark S. Daskin, 2003. "A Joint Location-Inventory Model," Transportation Science, INFORMS, vol. 37(1), pages 40-55, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bingbing Cao & Tianhui You & Chunyi Liu & Jian Zhao, 2021. "Pricing and Channel Coordination in Online-to-Offline Supply Chain Considering Corporate Environmental Responsibility and Lateral Inventory Transshipment," Mathematics, MDPI, vol. 9(20), pages 1-30, October.
    2. Michael K. Lim & Ho-Yin Mak & Zuo-Jun Max Shen, 2017. "Agility and Proximity Considerations in Supply Chain Design," Management Science, INFORMS, vol. 63(4), pages 1026-1041, April.
    3. Onur Kaya & Dogus Ozkok, 2020. "A Blood Bank Network Design Problem with Integrated Facility Location, Inventory and Routing Decisions," Networks and Spatial Economics, Springer, vol. 20(3), pages 757-783, September.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wenjun Ni & Jia Shu & Miao Song & Dachuan Xu & Kaike Zhang, 2021. "A Branch-and-Price Algorithm for Facility Location with General Facility Cost Functions," INFORMS Journal on Computing, INFORMS, vol. 33(1), pages 86-104, January.
    2. Tsao, Yu-Chung & Lu, Jye-Chyi, 2012. "A supply chain network design considering transportation cost discounts," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(2), pages 401-414.
    3. Francisco Silva & Lucia Gao, 2013. "A Joint Replenishment Inventory-Location Model," Networks and Spatial Economics, Springer, vol. 13(1), pages 107-122, March.
    4. Zhang, Ying & Snyder, Lawrence V. & Qi, Mingyao & Miao, Lixin, 2016. "A heterogeneous reliable location model with risk pooling under supply disruptions," Transportation Research Part B: Methodological, Elsevier, vol. 83(C), pages 151-178.
    5. Hadar Amrani & Eugene Khmelnitsky, 2017. "Optimal division of inventory between depot and bases," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(1), pages 3-18, February.
    6. Hussein Naseraldin & Yale T. Herer, 2008. "Integrating the Number and Location of Retail Outlets on a Line with Replenishment Decisions," Management Science, INFORMS, vol. 54(9), pages 1666-1683, September.
    7. Farahani, Reza Zanjirani & Rezapour, Shabnam & Drezner, Tammy & Fallah, Samira, 2014. "Competitive supply chain network design: An overview of classifications, models, solution techniques and applications," Omega, Elsevier, vol. 45(C), pages 92-118.
    8. Fathi, Mahdi & Khakifirooz, Marzieh & Diabat, Ali & Chen, Huangen, 2021. "An integrated queuing-stochastic optimization hybrid Genetic Algorithm for a location-inventory supply chain network," International Journal of Production Economics, Elsevier, vol. 237(C).
    9. Escalona, P. & Marianov, V. & Ordóñez, F. & Stegmaier, R., 2018. "On the effect of inventory policies on distribution network design with several demand classes," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 111(C), pages 229-240.
    10. Emilio Carrizosa & Alba V. Olivares-Nadal & Pepa Ramírez-Cobo, 2020. "Embedding the production policy in location-allocation decisions," 4OR, Springer, vol. 18(3), pages 357-380, September.
    11. Cui, Jianxun & Zhao, Meng & Li, Xiaopeng & Parsafard, Mohsen & An, Shi, 2016. "Reliable design of an integrated supply chain with expedited shipments under disruption risks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 95(C), pages 143-163.
    12. Alper Atamtürk & Gemma Berenguer & Zuo-Jun (Max) Shen, 2012. "A Conic Integer Programming Approach to Stochastic Joint Location-Inventory Problems," Operations Research, INFORMS, vol. 60(2), pages 366-381, April.
    13. Shu, Jia & Li, Zhengyi & Shen, Houcai & Wu, Ting & Zhong, Weijun, 2012. "A logistics network design model with vendor managed inventory," International Journal of Production Economics, Elsevier, vol. 135(2), pages 754-761.
    14. Lian Qi & Zuo-Jun Max Shen & Lawrence V. Snyder, 2010. "The Effect of Supply Disruptions on Supply Chain Design Decisions," Transportation Science, INFORMS, vol. 44(2), pages 274-289, May.
    15. Li, Xiaopeng, 2013. "An integrated modeling framework for design of logistics networks with expedited shipment services," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 56(C), pages 46-63.
    16. Christensen, Tue Rauff Lind & Klose, Andreas, 2021. "A fast exact method for the capacitated facility location problem with differentiable convex production costs," European Journal of Operational Research, Elsevier, vol. 292(3), pages 855-868.
    17. Tiwari, M.K. & Raghavendra, N. & Agrawal, Shubham & Goyal, S.K., 2010. "A Hybrid Taguchi-Immune approach to optimize an integrated supply chain design problem with multiple shipping," European Journal of Operational Research, Elsevier, vol. 203(1), pages 95-106, May.
    18. Zheng, Xiaojin & Yin, Meixia & Zhang, Yanxia, 2019. "Integrated optimization of location, inventory and routing in supply chain network design," Transportation Research Part B: Methodological, Elsevier, vol. 121(C), pages 1-20.
    19. Amiri-Aref, Mehdi & Klibi, Walid & Babai, M. Zied, 2018. "The multi-sourcing location inventory problem with stochastic demand," European Journal of Operational Research, Elsevier, vol. 266(1), pages 72-87.
    20. Onur Kaya & Dogus Ozkok, 2020. "A Blood Bank Network Design Problem with Integrated Facility Location, Inventory and Routing Decisions," Networks and Spatial Economics, Springer, vol. 20(3), pages 757-783, September.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:navres:v:58:y:2011:i:5:p:437-456. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.